\documentclass{standalone}
\usepackage{pgfplots}
\pgfplotsset{compat=1.18}
\usepackage{amsmath}

\begin{document}
	
	\begin{tikzpicture}
		\begin{axis}[
			axis lines = center,
			xmin = -2, xmax = 2,
			ymin = -1.8, ymax = 2.2,
			xlabel = $x$,
			ylabel = $y$,
			xtick = {-2.0,-1.5,-1,-0.5,0,0.5,1.0,1.5,2.0},
			ytick = {-2.0,-1.5,-1,-0.5,0,0.5,1.0,1.5,2.0},
			grid = both,
			grid style = {dashed, gray!30},
			axis line style = {line width=1pt},
			clip = false,
			width = 10cm
			]
			
			% 函数 h(x) = x^{2/3}
			\addplot [
			domain = -1.9:1.9,
			samples = 200,
			smooth,
			thick,
			blue
			] {abs(x)^(2/3)};
			
			% 函数 p(x) = 2/(3x^{1/3}) (正确绘制)
			\addplot [
			domain = 0.1:1.9,
			samples = 100,
			smooth,
			thick,
			red
			] {2/(3*abs(x)^(1/3))};
			
			\addplot [
			domain = -1.9:-0.1,
			samples = 100,
			smooth,
			thick,
			red
			] {-2/(3*abs(x)^(1/3))}; % 负半轴为负值
			
			% 添加函数标签 (根据图片位置)
			\node[blue, above] at (axis cs: 1.2, 1.5) {\large $h(x) = x^{2/3}$};
			\node[red, below] at (axis cs: -1.2, -1.0) {\large $p(x) = \dfrac{2}{3x^{1/3}}$};
			
			% 添加关键点标注
			%\fill[blue] (axis cs:0,0) circle (2pt);
			%\fill[blue] (axis cs:1,1) circle (2pt);
			%\fill[blue] (axis cs:-1,1) circle (2pt);
			
			% 添加左上角数字（模拟图中"47"）
			%\node at (axis cs:-1.9,2.1) {\small 47};
			
		\end{axis}
	\end{tikzpicture}
	
\end{document}